Question

Suppose f(x) = $\sqrt[3]{x^2 + 4x}$ and g(x) is an anti derivative of f(x) .

If g(5) = 7, then find the value of g(1) .

Answer 1

Refer to attachment

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Answer 2

Answer:

= f (x) = x²g(x),g(1) =6 and g '(1)=3

= f ' (x) =2xg(x) + x²g'(x)

= f (1) =2(1)g (1)+(1)² g(1)

= f (1) =2(1) (6) + (1) (3) =12+3=15

= f (1) = 15

Explanation:

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